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Consider a multiplexer with X and Y as data inputs and Z the as control input. Z = 0 selects input X, and Z = 1 selects input Y. What are the connections required to realize the 2-variable Boolean function F = T + R, without using any additional hardware?
- a)R to X, 1 to Y, T to Z
- b)T to X, R to Y, T to Z
- c)T to X, R to Y, 0 to Z
- d)R to X, 0 to Y, T to Z
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Consider a multiplexer with X and Y as data inputs and Z the as contro...
Z'X + ZY..
Put Z = T, X = R, Y = 1 in Z'X + ZY..
= T'R + 1*T
= (T+T') (T+R)
= T + R
Put Z = T, X = R, Y = 1 in Z'X + ZY..
= T'R + 1*T
= (T+T') (T+R)
= T + R
Most Upvoted Answer
Consider a multiplexer with X and Y as data inputs and Z the as contro...
Solution:
The given function F = T R can be implemented using a multiplexer with X and Y as data inputs and Z as the control input. The connections required to realize the function are:
• R to X input of the multiplexer as R is one of the variables used in the function.
• 1 to Y input of the multiplexer as it is a constant value in the function.
• T to Z input of the multiplexer as T is the other variable used in the function.
Hence, the correct option is A.
Explanation:
A multiplexer or MUX is a combinational circuit that selects one of several inputs and forwards the selected input to the output. It has n data inputs, one output, and m control inputs, where 2^m = n. In this problem, we have a 2:1 MUX with X, Y, and Z as data inputs and control input, respectively.
The given function F = T R is a 2-variable Boolean function, where T and R are the input variables. To implement this function using a MUX, we need to connect the inputs and control input of the MUX appropriately.
The truth table for the function F = T R is as follows:
T | R | F
--------------
0 | 0 | 0
0 | 1 | 0
1 | 0 | 0
1 | 1 | 1
From the truth table, we can see that when T = 1 and R = 1, the output F is 1, and for all other input combinations, F is 0. Therefore, we need to connect T to the control input of the MUX and R to the X input of the MUX. We also need to connect a constant value of 1 to the Y input of the MUX, as it is a constant value in the function.
The connections required to realize the function F = T R using a 2:1 MUX are as follows:
• R to X input of the MUX
• 1 to Y input of the MUX
• T to Z input of the MUX
When Z = 0, the MUX selects the input X, which is connected to R. Therefore, the output of the MUX is R, which is the value of the input variable R. When Z = 1, the MUX selects the input Y, which is connected to a constant value of 1. Therefore, the output of the MUX is always 1, regardless of the value of R. Hence, the output of the MUX is F = T R, as required.
The given function F = T R can be implemented using a multiplexer with X and Y as data inputs and Z as the control input. The connections required to realize the function are:
• R to X input of the multiplexer as R is one of the variables used in the function.
• 1 to Y input of the multiplexer as it is a constant value in the function.
• T to Z input of the multiplexer as T is the other variable used in the function.
Hence, the correct option is A.
Explanation:
A multiplexer or MUX is a combinational circuit that selects one of several inputs and forwards the selected input to the output. It has n data inputs, one output, and m control inputs, where 2^m = n. In this problem, we have a 2:1 MUX with X, Y, and Z as data inputs and control input, respectively.
The given function F = T R is a 2-variable Boolean function, where T and R are the input variables. To implement this function using a MUX, we need to connect the inputs and control input of the MUX appropriately.
The truth table for the function F = T R is as follows:
T | R | F
--------------
0 | 0 | 0
0 | 1 | 0
1 | 0 | 0
1 | 1 | 1
From the truth table, we can see that when T = 1 and R = 1, the output F is 1, and for all other input combinations, F is 0. Therefore, we need to connect T to the control input of the MUX and R to the X input of the MUX. We also need to connect a constant value of 1 to the Y input of the MUX, as it is a constant value in the function.
The connections required to realize the function F = T R using a 2:1 MUX are as follows:
• R to X input of the MUX
• 1 to Y input of the MUX
• T to Z input of the MUX
When Z = 0, the MUX selects the input X, which is connected to R. Therefore, the output of the MUX is R, which is the value of the input variable R. When Z = 1, the MUX selects the input Y, which is connected to a constant value of 1. Therefore, the output of the MUX is always 1, regardless of the value of R. Hence, the output of the MUX is F = T R, as required.
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Consider a multiplexer with X and Y as data inputs and Z the as control input. Z = 0 selects input X, and Z = 1 selects input Y. What are the connections required to realize the 2-variable Boolean function F = T + R, without using any additional hardware?a)R to X, 1 to Y, T to Zb)T to X, R to Y, T to Zc)T to X, R to Y, 0 to Zd)R to X, 0 to Y, T to ZCorrect answer is option 'A'. Can you explain this answer?
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Consider a multiplexer with X and Y as data inputs and Z the as control input. Z = 0 selects input X, and Z = 1 selects input Y. What are the connections required to realize the 2-variable Boolean function F = T + R, without using any additional hardware?a)R to X, 1 to Y, T to Zb)T to X, R to Y, T to Zc)T to X, R to Y, 0 to Zd)R to X, 0 to Y, T to ZCorrect answer is option 'A'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider a multiplexer with X and Y as data inputs and Z the as control input. Z = 0 selects input X, and Z = 1 selects input Y. What are the connections required to realize the 2-variable Boolean function F = T + R, without using any additional hardware?a)R to X, 1 to Y, T to Zb)T to X, R to Y, T to Zc)T to X, R to Y, 0 to Zd)R to X, 0 to Y, T to ZCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a multiplexer with X and Y as data inputs and Z the as control input. Z = 0 selects input X, and Z = 1 selects input Y. What are the connections required to realize the 2-variable Boolean function F = T + R, without using any additional hardware?a)R to X, 1 to Y, T to Zb)T to X, R to Y, T to Zc)T to X, R to Y, 0 to Zd)R to X, 0 to Y, T to ZCorrect answer is option 'A'. Can you explain this answer?.
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